A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing
 3 years ago
Cannot figure out how to set this problem up
Find the average rate of change
f(x)=x^3+1
intervals given [2,3]
book says the answer is 19, how do they get that?
no matter what I do Im not getting the correct answer.
 3 years ago
Cannot figure out how to set this problem up Find the average rate of change f(x)=x^3+1 intervals given [2,3] book says the answer is 19, how do they get that? no matter what I do Im not getting the correct answer.

This Question is Closed

MrYantho
 3 years ago
Best ResponseYou've already chosen the best response.1\[f(x2)f(x1)/x2x1\] \[f(3)f(2)/32\] \[((3)^{3}+1)((2)^{3}+1)/1\] \[(27+1)(8+1)\] \[289\] \[19\]

ash2326
 3 years ago
Best ResponseYou've already chosen the best response.0we want to find the average rate of change find f'(x)= 3x^2 (df/dx gives the change in f(x) at every instant) now take integral between the limits 2 to 3 Average rate of change= \[1/(32) \int\limits_{2}^{3} 3x^2 dx\] \[= 1/1 * [ x^3] \] from 3 to 2 278=19

ash2326
 3 years ago
Best ResponseYou've already chosen the best response.0we know that average of a function f(x) in the interval [ a,b] is given by \[1/(ba) \int\limits_{a}^{b} f(x) dx\]

catwigley81
 3 years ago
Best ResponseYou've already chosen the best response.1Thank you both! Got it!
Ask your own question
Ask a QuestionFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.